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196267136 = 2713243211
BaseRepresentation
bin10111011001011…
…00110010000000
3111200022101220012
423230230302000
5400221022021
631250404052
74602146252
oct1354546200
9450271805
10196267136
11a087344a
1255890628
133187b200
141c0cdcd2
151236d35b
hexbb2cc80

196267136 has 96 divisors (see below), whose sum is σ = 435291120. Its totient is φ = 88058880.

The previous prime is 196267111. The next prime is 196267147. The reversal of 196267136 is 631762691.

196267136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 196267093 and 196267102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930071 + ... + 930281.

Almost surely, 2196267136 is an apocalyptic number.

196267136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217645560).

196267136 is an abundant number, since it is smaller than the sum of its proper divisors (239023984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196267136 is a wasteful number, since it uses less digits than its factorization.

196267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 196267136 is about 14009.5373228383. The cubic root of 196267136 is about 581.1423541974.

It can be divided in two parts, 19626 and 7136, that added together give a palindrome (26762).

The spelling of 196267136 in words is "one hundred ninety-six million, two hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 169 172 208 211 338 344 416 422 559 676 688 832 844 1118 1352 1376 1664 1688 2236 2704 2743 2752 3376 4472 5408 5486 5504 6752 7267 8944 9073 10816 10972 13504 14534 17888 18146 21632 21944 27008 29068 35659 35776 36292 43888 58136 71318 71552 72584 87776 116272 117949 142636 145168 175552 232544 235898 285272 290336 351104 465088 471796 570544 580672 930176 943592 1141088 1161344 1533337 1887184 2282176 3066674 3774368 4564352 6133348 7548736 12266696 15097472 24533392 49066784 98133568 196267136